双激振电机驱动旋转振动筛系统的同步理论研究

旋转振动筛广泛用于矿业、农业生产等领域。其具有效率高、密封性好、可连续作业和体积小等特点。基于这些特点,提出了旋转振动筛系统的简化物理模型。用拉格朗日方程建立了旋转振动筛系统的空间运动动力学方程,引入无量纲参数,将动力学方程转化为无量纲方程,利用拉普拉斯变换对该方程求解,得出该系统在各个自由度方面的响应。利用庞加莱法和中心流形定理推导出系统的自同步平衡方程和稳定性准则。通过数值仿真和机电耦合仿真相互印证其理论的正确性。

Self-synchronization theory for rotary vibrating screen systems driven by two motors

Rotating vibrating screens with features of high efficiency, good sealing, continuous operation and small volume are widely used in fields of mining, agriculture and so on. Here, based on these features, a simplified physical model of a rotary vibrating screen system was proposed. Firstly, dynamic equations of the rotary vibrating screen system were established with Lagrange equation, and dimensionless parameters were introduced to convert the dynamic equations into dimensionless equations. Laplace transformation was used to solve the dimensionless equations and obtain each DOF’s response of the system. Then, Poincaré method and the central manifold theorem were used to derive the system’s self-synchronous equilibrium equation and stability criterion. Finally, the correctness of the proposed theory was verified with numerical simulation and mechanical-electrical coupled analog test.